Finding the Third Proportional to 576,498,237,965 and 1,239,757,478,460
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Solution
The third proportional to 576,498,237,965 and 1,239,757,478,460 is: 2,666,094,194,533.88
Step by Step Solution
- Step 1: Write the proportion equation
576,498,237,965 : 1,239,757,478,460 = 1,239,757,478,460 : x - Step 2: Convert to fraction form
576,498,237,965/1,239,757,478,460 = 1,239,757,478,460/x - Step 3: Cross multiply
576,498,237,965x = 1,239,757,478,460 × 1,239,757,478,460 - Step 4: Simplify right side
576,498,237,965x = 1,536,998,605,397,497,462,390,784 - Step 5: Solve for x
x = 1,536,998,605,397,497,462,390,784/576,498,237,965 - Step 6: Final answer
x = 2,666,094,194,533.88
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.